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Finding the Third Proportional to 189,987 and 410,430

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Solution

The third proportional to 189,987 and 410,430 is: 886,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,987 : 410,430 = 410,430 : x
  2. Step 2: Convert to fraction form
    189,987/410,430 = 410,430/x
  3. Step 3: Cross multiply
    189,987x = 410,430 × 410,430
  4. Step 4: Simplify right side
    189,987x = 168,452,784,900
  5. Step 5: Solve for x
    x = 168,452,784,900/189,987
  6. Step 6: Final answer
    x = 886,654.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.